Naumeyko, I.Alja'afreh M.2018-03-292018-03-292016Naumeyko I. Investigation of the dynamics of singular protected systems / I. Naumeyko, M. Alja'afreh // Econtechmod. An international quarterly journal on economics in technology,new technologies and modelling processes – 2016. – Vol. 5, № 4 – P. 37–42.http://openarchive.nure.ua/handle/document/4458The analysis of asymptotic representations of the systems protected from harmful influences is carried out. Various types of general models of the "manmachine-environment" with protection are considered. Each of them adequately describes some of the practically important qualities of the object, and they all together describe the object in terms of its safe operation. The dynamic properties of complex ergonomic systems, presented in the form of systems of differential equations with a small parameter at the derivative are investigated. The methods of reducing the impact on the person of harmful factors are theoretically substantiated. The dynamic protection response speed is considered to be significantly greater than the harmful factor production rate.enMan Machine Environment modelnon-linear systemsingular equationsasymptoticArticle